Question

using the parallelogram angle theorem

1. 8x - 1 + 9x - 6 = 180
2. 17x - 7 = 180
3. 17x = 187

what are the measures of angles q and r?
m∠q=
m∠r=

Explanation:

Step1: Solve for \(x\)

From \(17x = 187\), we divide both sides by \(17\): \(x=\frac{187}{17}=11\)

Step2: Find \(m\angle Q\)

Substitute \(x = 11\) into \(8x-1\): \(8\times11 - 1=88 - 1=87^{\circ}\)

Step3: Find \(m\angle R\)

Substitute \(x = 11\) into \(9x - 6\): \(9\times11-6=99 - 6=93^{\circ}\)

Answer:

\(m\angle Q = 87^{\circ}\), \(m\angle R=93^{\circ}\)